Vibration testing apparatus and vibration testing method

ABSTRACT

In a hybrid vibration experiment of the structure, while shaking an actual model simulating a portion of the structure, analysis is made on vibration response of a numerical model simulating the remaining portions of the structure, with using a computer. Loading members are provided neighboring to the actual model. The plural numbers of vibrators vibrates the actual model through the loading member. A control means for the vibrators controls the plural numbers of vibrators, so that not a point displacement, but a distributed displacement is loaded on the actual model.

BACKGROUND OF THE INVENTION

[0001] The present invention relates to a vibration testing apparatus and a vibration testing method for conducting hybrid vibration experiment on structures.

[0002] A method is described of conducting vibration experiment with using a shaking table, by numerically modeling a part of the structure while building up an actual model for the remaining parts thereof, for knowing behavior of the structure when being attacked by the earthquake or the like, for example, in “A hybrid vibration experiment with using a model of soil-foundation system” by KOBAYASHI and TAMURA, Articles of a fist (1^(st)) symposium relating to an improvement on protection against the earthquake disaster upon the basis of analysis of breaking process of structures, Mar. 27, 2000, issued by a technology propelling organization of civil engineering society, pp. 145-150 <document 1>. This method is based on condition that concentrated load is applied onto a vibration point. However, with such the structure that cannot be divided into the numerical and the actual models easily, the displacement is distributed, which is inherently ought to be given on the boarder between those both of models, therefore it is difficult to achieve such the displacement with high accuracy by using a single vibrator.

[0003] For dissolving such the drawback, in Japanese Patent Laying-Open No. Hei 8-292122 (1996) or Japanese Patent Laying-Open No. Hei 9-126942 (1997), for example, there is described that deformation of much degree of freedom is applied onto the model as a target of vibration with using a large number of the vibrators. For example, in the Japanese Patent Laying-Open No. Hei 8-292122 (1996), there is described that a plural number of vibrating or shaking tables of the same size are positioned, being separated by such a predetermined distance therebetween, that each the shaking table can be moved in synchronism therewith, that each the shaking table can be moved independently, and that each the shaking table can be moved with keeping the correlation therebetween, thereby enabling them to be used, also as a shaking table of a large-size.

[0004] Also, in the Japanese Patent Laying-open No. Hei 9-126942 (1997), for enabling to give a plural number of vibrations having a phase difference therebetween, or those being different in the the cycle thereof, both a sample and a second vibrating stage are received within a first vibrating stage, being formed in the box-like shape and opened at the upper surface thereof, in a vibration tester, wherein the second vibrating stage takes counterforce to the first vibrating stage, thereby enabling to give the vibration different from that given from the first vibrating stage onto the sample disposed on it.

[0005] Further, for the purpose of complementing the method of the document 1, in “Dynamic-response analysis of bridge by taking coupling of soil-foundation into consideration” by TAKAHASHI, and others, Articles of a fist (1^(st)) symposium relating to an improvement on protection against the earthquake disaster upon the basis of analysis of breaking process of structures, Mar. 27, 2000, issued by a technology propelling organization of civil engineering society, pp. 151-156 <document 2>, there is described that a lumped mass model is used in the hybrid experiment, in which the structure is considered to be a non-linear element.

[0006] In what is described in the document 1, enabling the hybrid vibration experiments therewith, the numerical model and the actual model are divided on the boundary therebetween, idealistically, by means of a point. Accordingly, it is only possible to treat the general structure, which shows complex behaviors, in a manner of approximation; therefore a modeling is desired to be more approximate to a reality. Also, with those described in the Japanese Patent Laying-Open No. Hei 8-292122 (1996) and the Japanese Patent Laying-Open No. Hei 9-126942 (1997), though having an advantage that the sample can be vibrated at a plural number of points, however there is paid almost no consideration on a manner, i.e., how ill influences should be reflected on the structure of the vibrator, in particular, when the vibration response of the structure depends on the peripheral circumferences very much. For example, a load is applied from a soil onto a pile of the bridge, which is be berried into the soil, and this load depends on the deformation of the pile. Also, the structure receives fluctuation pressure from winds, and this fluctuation pressure may be a factor of generation of vibration. Thus, the fluctuation pressure is influenced by the deformation of the structure. Also the same phenomenon occurs within the structure in water.

[0007] Moreover, since the non-linear lumped mass model is used as the calculation model in the document 2 mentioned above, the accuracy of calculation can be improved up, however since it also tries to achieve the vibration displacement distribution of the actual model by the single vibrator, therefore a further improvement is desired for the purpose of obtaining the actual displacement distribution with high fidelity.

BRIEF SUMMARY OF THE INVENTION

[0008] According to the present invention, being accomplished by taking the drawbacks of the conventional arts mentioned above into the consideration, an object is to make the so-called hybrid vibration experiment possible on the structure in a wide region thereof. Other object, according to the present invention, is to bring the method for vibration experiment to be executed accompanying with the shaking tests and numeral calculations to be applicable also onto the structure being difficult to be divided by the point and the structure receiving ill influences from the peripheral circumstances thereof. Further other object, according to the present invention, is to accomplish a hybrid vibration experimental apparatus, being applicable to the structures widely, and also a vibration-response analysis apparatus for use therein. And, according to the present invention, it is an object to achieve at least one of those objects.

[0009] For accomplishing the object mentioned above, according to the present invention, there is provided a vibration testing apparatus, for analyzing vibration response in a structure by using a computer, shaking a portion of the structure with using an actual model simulated thereto, while analyzing the vibration response of a numerical model simulated to remaining portions thereof, comprising: a loading member neighboring to said actual model; plural numbers of vibrator for shaking the actual model through said loading member; and a control means for said plural numbers of vibrators, wherein said control means controls said plural numbers of vibrator, so that a load is applied onto said actual model causing distributed displacement thereupon.

[0010] Also, according to the present invention, in the vibration testing apparatus as described in the above, it is preferable that said control means controls said plural numbers of vibrators upon the distributed displacement, which is memorized in the computer in advance, and that a displacement detection means is provided in each of said plural numbers of vibrators for detecting shaking displacements by said plural numbers of vibrators.

[0011] Further, according to the present invention, for accomplishing other object mentioned above, there is also provided a hybrid vibration testing apparatus, comprising: a deformation loading apparatus for deforming a sample; and a computer for calculating vibration response in a structure model, which is imaginarily connected to the sample, and for giving an instructing to said deformation loading device, thereby causing the deformation in the sample, wherein said deformation loading device comprises: a loading member neighboring to the sample and causing the deformation in the sample through deformation of itself; plural numbers of vibrators for causing the deformation in the loading member, each being fixed at one end thereof; and counterforce measurement apparatuses, each for measuring the counterforce, which the sample gives to said loading apparatus, wherein said computer calculates out the vibration response in a structure model with using a distributed counterforce value detected by said counterforce measurement apparatus and an external force applied onto the structure model, the vibration response being vibration response having much degree of freedom than that of said vibrators, and said computer further instructs a displacement amount to each of said plural numbers of vibrators upon basis of the vibration response calculated out therein.

[0012] Also, in the hybrid vibration testing apparatus as described in the above, it is preferable that said computer instructs the displacement amount to each of said vibrators, so that the deformation caused in the loading member by shaking of the vibrators coincides with the deformation of the loading member, which is included in the vibration response calculated out through said structure model, and it may be also possible that said computer calculates out the displacement amount to be instructed to each of said vibrators, with using a least squarer method.

[0013] Also, it is preferable that that said counterforce measurement apparatus is built up with load sensors, each of which is provided between the loading member and the sample, respectively, and said computer obtains a distributed counterforce by interpolating outputs of those load sensors. Also, it may further comprises means for executing at least one of storing, displaying and outputting of the vibration response calculated by said computer, during vibration experiment or after completion thereof.

[0014] Further, it is possible that said counterforce measurement apparatus is built up with load sensors, each of which is provided between the loading member and the sample, respectively, and into said computer is memorized a loading member structure model, which describes a relationship of deformation amount with respect to the load on the loading member at a connecting point between the loading member and the vibrator.

[0015] Moreover, according to the present invention, for accomplishing the further other object mentioned above, there is also provided a hybrid vibration testing method, for analyzing vibration response in a whole of structure by using a computer, shaking a portion thereof with using an actual model simulated thereto, while analyzing the vibration response of a numerical model simulated to remaining portions thereof, comprising the following steps of: calculating the vibration response of the numerical model at a time when at least one of external force and shaking force is applied onto the structure; and applying a load to cause the distributed displacement on a loading member, which is provided neighboring to said actual model, by using plural numbers of vibrators, upon basis of vibration displacement at a neighboring portion to said actual model, which is obtained in said computer. And in the hybrid vibration testing method as described in the above, it is possible that said external force is considered to be an inertia caused due to earthquake, and the vibration response to be obtained are considered to be those of seismic response, which are caused due to seismic acceleration.

[0016] And also, according to the present invention, in the hybrid vibration testing method as described in the above, it is preferable that the distributed counterforce is obtained by: memorizing a loading member structure model describing a relationship between the load and the deformation amount, at positions where the vibrators are connected, into said computer; calculating the counterforce generated in the loading member by said computer, with using the deformation amount, which is applied by each of vibrators, and said loading member structure model; obtaining a difference in the load by subtracting the counterforce calculated by said computer from the load value detected by the load detector provided in each of the vibrators; and obtaining the distributed counterforce of a whole loading member, which causes said distributed deformation, from the load of the difference in each of said vibrators.

BRIEF DESCRIPTION OF THE SEVERAL VIEWS OF THE DRAWING

[0017] Those and other objects, features and advantages of the present invention will become more readily apparent from the following detailed description when taken in conjunction with the accompanying drawings wherein:

[0018]FIG. 1 is a block diagram of an embodiment of the vibration testing apparatus, according to the present invention;

[0019]FIG. 2 shows an example of the structure, which is treated by the vibration testing apparatus shown in FIG. 1;

[0020]FIG. 3 is a detailed cross-section view of a potion of a sample deformation-loading portion, which is provided in the vibration testing apparatus shown in FIG. 1;

[0021]FIG. 4 is a detailed cross-section view of another example of the potion of the sample deformation-loading portion, which is provided in the vibration testing apparatus shown in FIG. 1;

[0022] FIGS. 5(a) and 5(b) are diagrams for showing other embodiment of the vibration testing apparatus, according to the present invention;

[0023] FIGS. 6(a) and 6(b) are views for showing an example of a sample loaded on the apparatus shown in FIGS. 5(a) and 5(b);

[0024]FIG. 7 shows other example of contents executed in a step 11 shown in FIG. 1;

[0025]FIG. 8 is a partial block diagram for showing further other embodiment of the vibration testing apparatus, according to the present invention; and

[0026]FIG. 9 is a perspective view for showing an example of the sample as a target of the vibration testing apparatus, according to the present invention.

DETAILED DESCRIPTION OF THE INVENTION

[0027] Hereinafter, several embodiments of a hybrid vibration testing apparatus and a testing apparatus thereof, according to the present invention, will be fully explained by referring to the attached drawings. FIG. 1 is a block diagram of the vibration testing apparatus for conducting vibration experiment on a pile berried into a soil (or foundation), which is shown in FIG. 2 in detail. FIG. 3 shows the vertical cross-section view of a vibration experiment portion in detail. On a bridge 100 as a testing target, as shown in FIG. 2, a bridge footing 102 is fixed on a footing 106. Further above the bridge footing 102, an upper structure 104 is disposed through vibration-proof devices 103. The bridge footing 102 supports the upper structure 104. The footing 106 is supported by means of piles 105, which are berried into the soil 101.

[0028] For the purpose of ascertaining reliability of the bridge 100 against the earthquake, a vibration response of the bridge is estimated. Among the elements or members building up the bridge 100, the characteristics can be obtained with relatively ease, of the footing 106 as the concrete structure, the bridge footing 102, the upper structure 104 and the piles 105, or the supporting members 103, since they can be identified in the materials thereof. As a result, numeral modeling can be achieved on each of those members easily.

[0029] On the contrary to this, with the vibration response of the portion of bridge footing 102, since the piles 105 receive the load from the soil 101, it is necessary to obtain a vibration response by adding the influences from the soil 101 thereto. Since it is difficult to obtain a numerical model of the load, which the piles 105 receive from the soil 101, because of the strong non-linear characteristic thereof, therefore the load is simulated with using an actual model. Namely, by letting a soil same to the actual soil to be a sample 101, deformation can be obtained, which will occur in that sample (i.e., the soil) 101 by the pile, with using a plural number of vibrators 1 a, 1 b and 1 c. With a dynamic behavior of each member of the structure, on which the numerical model can be obtained, it is obtained from a numerical simulation thereof. However, the piles 105 of the actual bridge are deformed, by receiving the influence from the soil 101 in a form of distributed load thereof. Also, the distributed load depends on the deformations of the piles 105. Then, the relationship between the piles 105 and the soil 101 is reproduced with fidelity as high as possible.

[0030]FIG. 3 shows the details of the sample 101 and the vibrators 1 a to 1 c for shaking it. The sample 101 is received with in a container 6, being called by a shear soil bath, which is very often used in the vibration experiments of soils. On one side surface of the container is attached a loading member 2, which is used for simulating the deformation applied onto the soil from the piles 105.

[0031] The loading member 2 is connected to the vibrators 1 a to 1 c, which are fixed onto a counterforce wall 4, being made of rigid member at one end thereof. At the connecting portions between the loading member 2 and the vibrators 1 a to 1 c are provided bearing shafts 3 a to 3 c, respectively. Those bearing shafts 3 a to 3 c are provided so that no moment functions onto the movable portion of the each vibrator. A lower end of the loading member 2 is fixed by means of a bearing shafts 3 d. This bearing shafts 3 d may be changed, fitting to the shape and/or the load condition of the piles 105 as an estimation target. Load cells 5 a to 5 c are provided on movable portions of the vibrators 5 a to 5 c, respectively. Those load cells 5 a to 5 c are provided for measuring the loads generated by the vibrators, respectively.

[0032] The loading member 2 is deformed when each of the vibrators 1 a to 1 c is driven; thereby also the soil 101 deforms accompanying with the loading member 2. Herein, the rigidity of the loading member 2 is made larger than that of the soil 101. With this, it is possible to simulate the deformation to be applied onto the loading member 2 at high accuracy, by using the deformation which each of the vibrators 1 a to 1 c applies thereto.

[0033] Next, explanation will be given on an example of the steps in the vibration experiment, with using the vibration testing apparatus, which is constructed in such the manner as was mentioned above. Since each of the vibrators 1 a to 1 c operates in the similar manner, then explanation will be given only on the vibrator 1 a, for an example. The vibrator 1 a is a hydraulic vibrator, and receives therein a displacement sensor for measuring an amount of displacement in a movable portion, though not shown in the figure. Each the vibrator 1 a is controlled through a controller 40, upon basis of a signal obtained from the displacement sensor, which is inputted into the controller 40.

[0034] In more details, the controller 40 drives spools of servo valves not shown in the figure, thereby controlling an operating oil to be entered into the vibrator 1 a in both a flow amount and a flow direction thereof, through a PI control, for example, when an instruction signal 33 and a measurement signal 32 of the displacement sensor are inputted into the vibrator 1 a. A computer 10 is connected to the controller 40. The instruction signal 33 of the vibrator 1 a is produced upon the basis of a load measurement signal 31 and the displacement measurement signal 32 by means of the computer 10. Further, an A/D converter is provided for digitalizing the measurement signals 31 and 32, at input portions thereof. In the similar manner, a D/A converter is provided at an output portion of the instruction signal 33.

[0035] According to the present hybrid vibration experiment method, the numerical modeling is applied onto others than a portion, which relates to the influence due to the soil 101 of the bridge, to be memorized into a memory means provided with the computer 10. The numerical modeling is assumed to be applicable with the finite-element method thereto. In more details, the bridge model is divided into a plural number of finite-elements, and a panel point is set at a corner portion of the each element. And, a relationship between each the panel point is displayed by a matrix having attenuation matrix and rigidity matrix. An analysis program of the finite-element method is installed in the computer 10, which enables the numerical modeling and the deformation of numerical models through calculation.

[0036] Next, the steps of the vibration experiment will be explained by referring to FIG. 1.

[0037] (A) A load distribution is obtained, which is applied from the soil 101 to the piles 105, in a step 11. This step 11 comprises the following steps:

[0038] The amount of displacement applied from the plural number of vibrators 1 a to 1 c onto the loading member 2 is inputted into the computer, in a step 21. This amount of displacement is calculated out by dividing a displacement feedback signal 32 of the vibrator. The relationship can be expressed by the following equation (Eq. 1), between the amount of displacement {dm} and the load {fm} at the position where the vibrator is located on the loading member 2. Then, the load due to the loading member is calculated out from the amount of displacement obtained.

{fm}*=[Km]{dm}  (Eq. 1)

[0039] Where, {dm} in the equation (Eq. 1) is a vector which is made up with the displacement measurement signal 32 from each of the vibrators 1 a to 1 c, while [Km] is the rigidity matrix determined by the material and/or the structure of the loading member 2, both of which are inputted in advance. Also, {fm}* is vector of the load in each of the vibrators 1 a to 1 c, being generated due to the deformation of the loading member 2.

[0040] Actually, the load generated in each of the vibrators 1 a to 1 c is detected in the form of the load signal 31. The load {fm} is calculated out by subtracting the load {fm}* calculated out in a sub-step 22 from the vector {fm}** of the load signal 31, i.e., with using the following equation (Eq. 2):

{fm}={fm}**−{fm}*  (Eq. 2)

[0041] A distributed load f(x) applied onto the loading member 2 is calculated out from the load {fm}={qa,qb,qc}T, which is generated in the sample at the each position of the vibrators 1 a to 1 c, i.e., with using the following equation (3):

f(x)=fa(x)qa+fb(x)qb+fc(x)qc  (Eq. 3)

[0042] where, qa to qc are the loads at the positions of the vibrators 1 a to 1 c, respectively.

[0043] Herein, “x” is a distance measured upward from the bottom surface of the loading member 2, as is shown in FIG. 3. “fa(x)” is the distributed load at the height x of the loading member 2 when the vibrator 1 a applies the load by a unit thereof. This fa(x) is inputted into the computer 10 in advance. “fb(x)” and “fc(x)” are also similar to that.

[0044] However, the equation (Eq. 3) is applicable only to a case where no counterforce is generated by the deformation at the position of the lowest bearing shaft 3 d. When the deformation causes the counterforce at the position of the bearing shaft 3 d, it is measured in the similar manner to that on the load generating at the each position of the vibrators 1 a to 1 c, and is inputted into the computer 10.

[0045] (B) Next, the dynamic behaviors is calculated on the structure, which is modeled numerically (numerical modeling), after passing a minute time Δt, with using the program of the finite-element method; i.e., by using the following equation (Eq. 4). In this instance, the distributed load {f} delivered in the step 11, as well as, the load {g} acting as external force onto a whole of the structure (indicated by “EXTERNAL FORCE” in FIG. 1) act as the external force. That corresponding to the load {g} is the inertia force due to the seismic acceleration, since the analysis is aimed on the seismic response, according to the present embodiment. This load {g} can be obtained by storing it into the computer 10 in advance, or by inputting it from an outside of the computer 10, sequentially.

[M]{y}″+[C]{y}′+[K]{y}={f}+{g}  (Eq. 4)

[0046] Where, [M], [C] and [K] indicate the mass matrix, the attenuation matrix and the rigidity matrix, respectively, and the values of those are inputted into the computer 10 in advance. {y} is the displacement vector at the each panel point in the finite-element model. “′” indicates the differentiation in relation to the time. {f} is the vector, which is obtained by converting the distributed load f(x) into the coordinate system of the finite-element model. The dynamic behavior is calculated out on the structure after passing the minute time Δt, by renewing the terms of the external forces {f} and {g} in the equation of motion (Eq. 4) at each the minute time Δt, in accordance with the scheme owned by the program of the finite-element method mentioned above. However, the equation (Eq. 4) is applicable only in a case where the numerical model can be described in the form of a liner model. The equation (Eq. 4) should be amended or changed in accordance with non-liberalization, which the program of finite-element method can deal with, in the case where the numerical model behaves only as the non-linear model, and if the program of the finite-element method can deal with the non-linear model too.

[0047] (C) Results of calculations of {y}, etc., obtained in the step 24 are memorized into the memory means and/or an external memorizing means provided with the computer 10, in a step 28. The vibration testing apparatus can be also utilized as a vibration analyzing apparatus, by making reference to the results stored, after conduction of the vibration experiment, or on a way of the vibration experiment. Thus, this step 28 is not always necessary.

[0048] (D) Explanation will be given on sub-steps in a step 12 for calculating out the instruction signal. The step 12 has three (3) sub-steps 25-27. The deformation {x}* is extracted in the sub-step 25, which the loading member 2 should apply onto the sample 101 as the load, from the behavior of the structure for each minute time, being obtained in the sub-step 24.

[0049] The displacement amounts “da” to “dc” are obtained in the step 26, which the vibrators 1 a to 1 c should apply onto the loading member 2, for the purpose of achieving the actual deformation on the sample 101, with fidelity as high as possible. Those displacement amounts can be obtained by the following manner. Thus, such as the shape and the constants, etc., of the loading member 2 are memorized in the computer 10, in advance. The deformation in the loading member 2 is obtained when the vibrators 1 a to 1 c show a predetermined displacement, through numeral calculation by using those data of the loading member 2 memorized. The amounts of displacement can be obtained from this relationship, which are required on each of the vibrators 1 a to 1 c, thereby causing a predetermined deformation in each portion of the loading member 2.

[0050] For example, while giving various displacements to the vibrators 1 a to 1 c, each, the displacement is calculated in advance, which will be generated at each portion on the loading member, so as to be memorized in the computer 10 in the form of a database. The data, having the distribution closest to that of the displacement distribution to be tested, is selected from the memorized displacement data of the loading member, and the displacement is obtained on loading by each of the vibrators 1 a to 1 c at that instance, thereby conducting the shaking test. With this, it is possible to execute the hybrid vibration experiment with ease but less error therein. Also, calculation of the displacement data of the loading member through the least square method, which are memorized in the database, in conformity with the displacement distribution to be tested, thereby obtaining the displacement amount of load by each of the vibrators 1 a to 1 c, enabling the hybrid vibration experiment with high accuracy.

[0051] The instruction signal 33 to the vibrators 1 a to 1 c is calculated out, so that the required amount of displacement can be achieved by each of the vibrators 1 a to 1 c. The instruction signal 33 calculated out is outputted into the controller 40. There is known a method of approaching the displacements of the vibrators 1 a to 1 c to the target values, gradually, while measuring them sequentially, or of shaking by the displacement after the minute time Δt, for the actual time achieved after passing Δt, as a concrete method for achieving the displacement amounts “da” to “dc”. According to the present embodiment adopting such the method therein, it is possible to make evaluation on the seismic response of the bridge, which comprises the piles receiving the loads from the soil, with high accuracy, through conducting the steps of the above (A) to (D) mentioned above, repetitively.

[0052] A variation of the embodiment mentioned above will be explained by referring to FIG. 4. In the present variation, the deformation is loaded in a method different from that in the embodiment mentioned above. Namely, the shear soil bath 6 is formed by piling up members 6 a, 6 b . . . of shear soil bath in plural numbers thereof, in the vertical direction, and the vibrators 1 a to 1 c are positioned at the side wall portion of each stage of the shear soil bath members 6 a, 6 b . . . A thin film-like member (not shown in the figure) is provided on the inner-side wall surface of the shear soil bath 6, for the purpose of preventing those shear soil bath members 6 a, 6 b . . . from exceeding a predetermined amount in the displacements thereof. According to the present variation, it is possible to deal with the one sidewall of the shear soil bath 6 in the similar manner to that of the loading member 2 shown in the embodiment mentioned above. Also, there can be obtain an advantage that the performances of the shear soil bath can be used as it is.

[0053] Explanation will be given on other embodiment, according to the present invention, by referring to FIGS. 5 to 7. In FIGS. 5(a) and 5(b), the testing apparatus is shown in the plan view and the cross-section view thereof, for evaluation on the vibration response of the structure position in the water, in particular, when the vibration is exited on the structure as a result of an effect of flow of the water. A cylinder is positioned in the water bath 8 as to be the loading member 2. The counterforce wall 4 is received within an inside of the cylinder 2, at the central portion thereof, on the bottom surface of the water bath 8. The plural numbers of vibrators 1 a to 1 f are also received within the inside of the cylinder 2, each being fixed to the counterforce wall 4 at one end thereof, and are aligned in the vertical direction. Those vibrators 1 a to 1 f deform the cylinder 2. Estimation is made on vibration response of the cylinder, which deforms when receiving the water flow within the water bath 8. The estimation system is basically same to that shown in FIG. 1.

[0054] FIGS. 6(a) and 6(b) show the disposition of a sensor for measuring the counterforce. Pressure sensors 9, 9 . . . are pasted or adhered on an outer periphery surface of the cylinder 2 at plural numbers of positions in the peripheral and the vertical directions thereof, so that it is divided equally. With this, the load is measured, which the cylinder 2 receives from the fluid. In the present embodiment, a sample-deforming load applying portion 50 is replaced with the loading portion, which is shown in FIGS. 5(a) and 5(b). Also, the step 11 is changed into the method shown in FIG. 7, because of change in the method for measuring the counterforce. Namely, the output values of the plural numbers of pressure sensors 9, 9 . . . are interpolated, thereby obtaining the distributed load acting upon the outer periphery surface of the cylinder 2.

[0055] However, the numerical model used in the step 24 must be one, which is obtained by modeling an underwater structure. Upon executing the dynamic behavior analysis, it is possible to take the inertia due to the earthquake into the consideration as the external force, or alternately to input the external force {g} of zero (0) for estimating only the influence due to the fluid. According to the present embodiment, it is possible to measure the distributed load, correctly, even in the case where the distributed load applied from the sample onto the loading member is small, comparing to the load generated upon the deformation of the loading member. With this, the vibration experiment can be conducted with high accuracy.

[0056] Explanation will be made on further other embodiment according to the present invention, by referring to FIGS. 8 and 9. FIG. 8 shows a sample-deforming load applying portion to be used in the present embodiment, and FIG. 9 an example of the sample to be mounted on the sample-deforming load applying portion shown in FIG. 8. The sample is a simulation of a large-scaled shell structure 110. A portion is cut out from the shell structure, at the specific part 111 thereof, such as an opening portion 112, for example, and is provided within a inside of the loading member 2 being constructed in a gate-like shape.

[0057] Deformation is applied to the loading member 2 from the vibrators 1 a to 1 f. The vibrators 1 a to 1 f are fixed onto the counterforce wall 7 because of the counterforce therefrom. It is possible to apply a method of measuring the counterforce of the vibrators, or of providing the counterforce measurement sensors between the loading member 2 and the sample 111, etc., for measurement of the counterforce. In the present embodiment, it is omitted to show the counterforce measurement in the figure. The numerical model to be used in the step shown in FIG. 1 corresponds to the portion, which is applied to the shaking test from the shell structure, such as, the other portions excepting for that portion, which are put into the actual models.

[0058] In the vibration testing system shown in FIG. 1, the sample-deforming load applying portion 50 is replaced with the sample-deforming load applying portion 50 shown in FIG. 8. Also, the step 11 shown in FIG. 1 is replaced with the step shown in FIG. 7, but depending on the necessity thereof. Other than those, these are used of the vibration testing system, which is shown in FIG. 1. With this, it is possible to conduct the vibration experiment on the large-scaled shell structure, but without manufacturing the actual model having a whole structure thereof. However, the shear soil bath may be mounted in the vibration base, though being mounted on the basement formed with the counterforce wall in a body. In this case, it is possible to grasp the influences in more details thereof.

[0059] In accordance with the various embodiments mentioned in the above, since the plural numbers of the vibration means are provided, as well as, the loading member for transmitting the displacement of those vibration means to the sample, it is possible to apply the load onto the sample, which causes the deformation of the distributed type, and also since the distributed counterforce generated in the sample can be used in the calculation of vibration, therefore it is possible to make the vibration testing method conducted by linking between the shaking test and the numeral calculation, being applicable onto the structures in a wide range, such as the structure, which cannot be divided into the points easily, the structure receiving the influences from the peripheral circumstances, etc. Further, it is also possible to obtain the apparatus, with which the analysis can be made on the vibration response of the structure with high accuracy.

[0060] Though several preferable embodiments are shown, according to the present invention, in the above, however the present invention should not be interpreted to be restricted only to those embodiment. The scope of the present invention should be determined by the claims appended herewith, and therefore also various structures within an inside the spirit or gist of the present invention are considered to be involved therein.

[0061] As was mentioned in the above, with the provision of the plural numbers of the vibration means and the loading member for transmitting the displacement due to the vibration means to the sample, it is possible to apply the load onto the sample to cause deformation of the distributed type, thereby achieving the analysis on the vibration response in the structure, under the condition near to the actual one. 

What is claimed is:
 1. A vibration testing apparatus, for analyzing vibration response in a structure by using a computer, shaking a portion of the structure with using an actual model simulated thereto, while analyzing the vibration response of a numerical model simulated to remaining portions thereof, comprising: a loading member neighboring to said actual model; plural numbers of vibrator for shaking the actual model through said loading member; and a control means for said plural numbers of vibrators, wherein said control means controls said plural numbers of vibrator, so that a load is applied onto said actual model causing distributed displacement thereupon.
 2. A vibration testing apparatus, as described in the claim 1, wherein said control means controls said plural numbers of vibrators upon the distributed displacement, which is memorized in the computer in advance.
 3. A vibration testing apparatus, as described in the claim 1, wherein a displacement detection means is provided in each of said plural numbers of vibrators for detecting shaking displacements by said plural numbers of vibrators.
 4. A hybrid vibration testing apparatus, comprising: a deformation loading apparatus for deforming a sample; and a computer for calculating vibration response in a structure model, which is imaginarily connected to the sample, and for giving an instructing to said deformation loading device, thereby causing the deformation in the sample, wherein said deformation loading device comprises: a loading member neighboring to the sample and causing the deformation in the sample through deformation of itself; plural numbers of vibrators for causing the deformation in the loading member, each being fixed at one end thereof; and counterforce measurement apparatuses, each for measuring the counterforce, which the sample gives to said loading apparatus, wherein said computer calculates out the vibration response in a structure model with using a distributed counterforce value detected by said counterforce measurement apparatus and an external force applied onto the structure model, the vibration response being vibration response having much degree of freedom than that of said vibrators, and said computer further instructs a displacement amount to each of said plural numbers of vibrators upon basis of the vibration response calculated out therein.
 5. A hybrid vibration testing apparatus, as described in the claim 4, wherein said computer instructs the displacement amount to each of said vibrators, so that the deformation caused in the loading member by shaking of the vibrators coincides with the deformation of the loading member, which is included in the vibration response calculated out through said structure model.
 6. A hybrid vibration testing apparatus, as described in the claim 4, wherein said counterforce measurement apparatus is built up with load sensors, each of which is provided between the loading member and the sample, respectively, and said computer obtains a distributed counterforce by interpolating outputs of those load sensors.
 7. A hybrid vibration testing apparatus, as described in the claim 4, wherein said counterforce measurement apparatus is built up with load sensors, each of which is provided between the loading member and the sample, respectively, and into said computer is memorized a loading member structure model, which describes a relationship of deformation amount with respect to the load on the loading member at a connecting point between the loading member and the vibrator.
 8. A hybrid vibration testing apparatus, as described in the claim 4, further comprising means for executing at least one of storing, displaying and outputting of the vibration response calculated by said computer, during vibration experiment or after completion thereof.
 9. A hybrid vibration testing apparatus, as described in the claim 5, wherein said computer calculates out the displacement amount to be instructed to each of said vibrators, with using a least squarer method.
 10. A hybrid vibration testing method, for analyzing vibration response in a whole of structure by using a computer, shaking a portion of the structure with using an actual model simulated thereto, while analyzing the vibration response of a numerical model simulated to remaining portions thereof, comprising the following steps of: calculating the vibration response of the numerical model at a time when at least one of external force and shaking force is applied onto the structure; and applying a load to cause the distributed displacement on a loading member, which is provided neighboring to said actual model, by using plural numbers of vibrators, upon basis of vibration displacement at a neighboring portion to said actual model, which is obtained in said computer.
 11. A hybrid vibration testing method, as described in the claim 10, wherein said external force is considered to be an inertia caused due to earthquake, and the vibration response to be obtained are considered to be those of seismic response, which are caused due to seismic acceleration.
 12. A hybrid vibration testing method, as described in the claim 10, wherein the distributed counterforce is obtained by: memorizing a loading member structure model describing a relationship between the load and the deformation amount, at positions where the vibrators are connected, into said computer; calculating the counterforce generated in the loading member by said computer, with using the deformation amount, which is applied by each of vibrators, and said loading member structure model; obtaining a difference in the load by subtracting the counterforce calculated by said computer from the load value detected by the load detector provided in each of the vibrators; and obtaining the distributed counterforce of a whole loading member, which causes said distributed deformation, from the load of the difference in each of said vibrators. 